Finding the Third Proportional to 3,362 and 3,662

Step by Step Solution

1. Step 1: Write the proportion equation
   3,362 : 3,662 = 3,662 : x
2. Step 2: Convert to fraction form
   3,362/3,662 = 3,662/x
3. Step 3: Cross multiply
   3,362x = 3,662 × 3,662
4. Step 4: Simplify right side
   3,362x = 13,410,244
5. Step 5: Solve for x
   x = 13,410,244/3,362
6. Step 6: Final answer
   x = 3,988.77